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Publication Citation: Second-order boundary corrections to the radial acoustic eigenvalues for a spherical cavity

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Author(s): Keith A. Gillis;
Title: Second-order boundary corrections to the radial acoustic eigenvalues for a spherical cavity
Published: August 17, 2012
Abstract: We calculated the eigenvalues of the radially-symmetric acoustic modes of a gas-filled, spherical cavity to order (δT/a)2, where δT is the thickness of the thermal boundary layer and a is the radius of the cavity. Our results are consistent with high-precision acoustic measurements made to re-determine the Boltzmann constant.
Citation: Metrologia
Volume: 49
Issue: 6
Pages: pp. L21 - L24
Keywords: Boltzmann constant; spherical resonator; speed of sound; second order; radial modes; eigenvalues
Research Areas: Metrology, International System (SI) of Units, Gas Metrology
PDF version: PDF Document Click here to retrieve PDF version of paper (299KB)